Nonresonance Conditions on the Potential for a Second-Order Periodic Boundary Value Problem

DOI10.2307/2159707zbMath0766.34020OpenAlexW4235940408MaRDI QIDQ4032511

Pierpaolo Omari, Fabio Zanolin

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2159707

zbMATH Keywords

periodic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (7)

Unnamed Item ⋮ Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem ⋮ Periodic solutions for second order equations with time-dependent potential via time map ⋮ Existence results for quasilinear elliptic equations with indefinite weight ⋮ A continuation lemma and the existence of periodic solutions of perturbed planar Hamiltonian systems with sub-quadratic potentials ⋮ On a \(p\)-Laplace Neumann problem with asymptotically asymmetric perturbations ⋮ A Nonresonance Condition for Boundary Value Problems

Cites Work

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• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• Periodic solutions of nonlinear differential equations with double resonance
• Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
• Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance
• Critical point theory and Hamiltonian systems
• Remarks on resonance problems with unbounded perturbations
• Existence of solution for a class of semilinear elliptic problems at double resonance
• Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations
• A note on nonlinear oscillations at resonance
• Time-maps for the solvability of periodically perturbed nonlinear duffing equations

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